**Hypothesis Testing Example: Customer Service Wait Times****Context:**The board of a major credit card company mandates that the mean wait time for customers calling customer service should not exceed 5.00 minutes. To verify compliance, an assistant manager recorded the wait times for 48 randomly selected calls. The mean wait time from this sample was found to be 5.70 minutes. With a population standard deviation of 1.96 minutes, is there sufficient evidence to conclude that the mean wait time is greater than 5.00 minutes, applying a 98% confidence level?**Step 1 of 3: Formulating Hypotheses**State the null and alternative hypotheses for this test. Fill in the blank below:- Null Hypothesis (H₀): μ = 5.00- Alternative Hypothesis (Hₐ): μ _____ 5.00**Answer Options:**Choose one of the following symbols to complete the alternative hypothesis:1. ≠2. >3. <**Keypad and Answer Entry:**There is an interactive keypad provided, featuring symbols like plus, minus, equality, and inequality signs to facilitate the input of your answer.Use this setup to state your hypotheses correctly, guiding your test to determine whether the actual mean wait time exceeds the specified limit.

Given : Claim : The mean wait time for customers is longer than 5.00 minutes.

Answered: The board of a major credit card…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Acceptedcharacters:numbers, decimal point markers (period or comma), sign indicators (-),spaces (e.g., as thousands separator, 5 000), “E” or“e” (used in scientific notation). NOTE: For scientificnotation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and“b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas{9i} is not. Find the mean of the distribution shown below. X 0 1 2 P(X) 0.24 0.31 0.45 Round your answer to two decimal place as necessary. For example, 4.56would be a legitimate entry. Mean =
Sarah and her fiancé are planning for their wedding. Distribution of the number of guests coming to the party is normal with the mean 100 and the standard deviation 10. They need to determine how many guests to book for food from a caterer. The caterer makes the following charges: $50 for each guest that is booked in advance; $90 for each guest who is not booked in advance but shows up on the wedding day. The caterer does not offer any refund even if some booked guests may not show up. Questions: What is the optimal number of guests to book in advance? How much Sarah can save by booking the optimal quantity from a) in advance? What is the expected number of guests that will come to their wedding? If Sarah and her fiancé book 90 guests in advance with the caterer, what is the probability of stock out? If Sarah and her fiancé book 100 guests in advance with the caterer, what is the expected number of meals to be wasted?
Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph.
3. The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. a. What percent of passenger vehicles travel slower than 80 miles/hour? What percent of passenger vehicles travel between 60 and 80 miles/hour? B. How fast do the fastest 5% of passenger vehicles travel? C. The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5.
A sports writer wants to see if a football filled with helium travels farther, on average, than a football filled with air. 12 footballs were filled with helium to the recommend pressure and 15 footballs were filled with air to the recommended pressure. The mean yardage for the helium filled footballs was 267 yards with a standard deviation of 3 yards. The mean yardage for the air filled footballs was 241 yards with a standard deviation of 5 yards. Assume the populations are normal with equal variances. (a). Construct a 99% confidence interval for the mean difference in in yardage for the two types of footballs Lower bound (use 3 decimal places) Upper bound (use 3 decimal places) (b). What can you conclude about the sports writer's idea that helium footballs travel farther, on average? The helium footballs are no different than the other footballs, on average The other footballs travel farther on average than the helium footballs The helium footballs travel farther on average than the…
Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on average, 28 minutes with a standard deviation of 10 minutes. In a given time, a bus transported passengers 40 times. What is the probability that the average transport time was greater than 30 minutes? Assume the mean time is measured to the nearest minute.
A non-symmetric dataset has a mean of 200 and a standard deviation of 15. Find an upper bound for the proportion of data points that are either greater than 230 or less than 170.
Imagine that for those who meditate daily, the number of minutes in meditation has mean 35 and standard deviation 10. In a group of 200 such persons, how many are expected to meditate more than 43 minutes per day?
The number of orders received daily by an online vendor of used CDs is normally distributed with mean 260 and standard deviation 20. The company has to hire extra help or pay overtime on those days when the number of orders received is 310 or higher. What percentage of days will the company have to hire extra help or pay overtime? Click the icon to view the standard normal distribution table. The company will have to hire extra help or pay overtime on % of days.
Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph. Use the Empirical Rule. Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph. Use the Empirical Rule. 81.5% 16% 32% 34% 50%
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A company provides home internet networking services and promises customers to be compensated for a 1 delayed service if the service calls cannot be resolved under an hour. Times for service calls is known to follow a normal distribution with a mean of 65 minutes and standard deviation of 7 minutes. What is the shortest range of service times that includes 25% of all service calls? Type your numerical answer here.

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